Q2: In an experiment, each of 13 athletes was given a pair of Nike and a pair of Puma shoes. The investigators reported the following data on the energy usage of these athletes at marathon when they used these brands of shoes separately: Athlete 2 3 4 5 6 7 Nike 0.11 0.18 0.14 0.22 0.10 0.16 0.28 Puma 0.1I 0.19 0.10 0.13 0.1I 0.17 0.24 Athlete 9 10 11 12 13 Nike 0.15 0.20 0.14 0.17 0.23 0.20 Puma 0.13 0.20 0.13 0.15 0.17 0.13 Does this data suggest that the mean of energy usage by Nike shoes exceeds that of Puma shoes? To answer this question, state and test appropriate hypotheses using a significance level of 0.05 (if you think a paired test is required, you can assume sample differences are drawn from a normal distribution and if you think a two sample test is required, you can assume samples are drawn from normal distributions). [25 points]